Answer:
Yes
Step-by-step explanation:
To determine if (1, 2 ) is a solution of the inequality, substitute the coordinates into the inequality and if satisfied then they are a solution, that is
(6 × 1) - 2 = 6 - 2 = 4 > 3
Since 4 > 3 then (1, 2 ) is a solution
Answer:
<em>Correct choice: B</em>
Step-by-step explanation:
<u>Equation Solving</u>
The area of a trapezoid with height h and bases b1 and b2 is given by:
We must solve this formula for h.
First, multiply by 2 to eliminate denominators:
Now, divide by b1+b2:
Swapping sides:
Correct choice: B
Answer:
Samantha's age = 27 years
Step-by-step explanation:
As Samantha is one year less than twice her brother Jack’s age.
As the sum of their ages is 41.
Thus, the equation become
x+2x-1 = 41
3x-1 = 41
3x = 42
Dividing both sides by 3
x = 14
It indicates that Jack's age = 14 years
Therefore,
Samantha's age = 2x-1 = 2(14)-1 = 27 years
Answer:
clockwise from left, the missing side lengths are 8 m, 13 m, 8 m
Step-by-step explanation:
The perimeter of the figure is the sum of the lengths of its sides. Sides with the same hash mark have the same length, so the perimeter (in meters) is ...
38 = (3x+1) +(2x) +(9) +(2x)
38 = 7x +10
28 = 7x . . . . . . subtract 10
4 = x . . . . . . . . divide by 7
Then the short sides are ...
2x = 2·4 = 8 . . . meters
and the long side is ...
3x+1 = 3·4 +1 = 13 . . . meters
Answer:
When the probe reaches the ocean floor, the horizontal distance of the probe from the team's ship on the ocean's surface will be approximately 1625 meters.
Step-by-step explanation:
tan=opposite/adjacent
tan67.4°=3900/x
2.40=3900/x
cross multiply
2.40x=3900
divide via by 2.40
2.40x/2.40=3900/2.40
x=1625
When the probe reaches the ocean floor, the horizontal distance of the probe from the team's ship on the ocean's surface will be approximately 1625 meters
